计算:(1-1/2-1/3-1/4-1/5)乘以(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)乘以(1/2+1/3+1/4+1/5)的结果是__________.

来源:学生作业学帮网 编辑:学帮网 时间:2024/06/04 02:51:12

计算:(1-1/2-1/3-1/4-1/5)乘以(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)乘以(1/2+1/3+1/4+1/5)的结果是__________.

原式=(1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5)+1/6*(1-1/2-1/3-1/4-1/5)
-(1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5)+1/6*(1/2+1/3+1/4+1/5)
=1/6*(1-1/2-1/3-1/4-1/5+1/2+1/3+1/4+1/5)
=1/6*1
=1/6